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Finding the Fourth Proportional to 792.44, 1,190.28 and 609.20

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Solution

The fourth proportional to 792.44, 1,190.28 and 609.20 is: 915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.44 : 1,190.28 = 609.20 : x
  2. Step 2: Convert to fraction form
    792.44/1,190.28 = 609.20/x
  3. Step 3: Cross multiply
    792.44x = 1,190.28 × 609.20
  4. Step 4: Simplify right side
    792.44x = 725,118.58
  5. Step 5: Solve for x
    x = 725,118.58/792.44
  6. Step 6: Final answer
    x = 915.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.